Question

Take two consecutive odd numbers. Find the sum of their squares,and then add 6 to the result. Prove that the new number is always divisible by 8.

Answer 1

Answer:

Step-by-step explanation:

I have taken 2n+1 and 2n-1 as odd numbers  

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Answer 2

two consecutive odd numbers be 1 and 3

then there squares would be 1 and 9

=1+9= 10

add 6 to the result

10+6=16

divide by 8

16\8= 4

hence proved that the new number is divisible by8